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A sum is invested at the rate of 5% per annum on simple interest, amounts Rs. 132 in 2 years. The same sum is invested at twice the previous rate at simple interest per annum for 3.5 years amounts- 1. 1522. 1503. 1624. 1155. 250 |
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Answer» Correct Answer - Option 3 : 162 Solution: Formula Used: SI = Amount – Principal SI = P × T × R /100 Calculations: Let the principal be Rs. x. Amount = Rs. 132 SI = 132 – x ----(1) Also SI = x × 2 × 5 /100 ----(2) Equating equation (1) and (2) ⇒ x × 2 × 5 /100 = 132 – x ⇒ 11x = 1320 ⇒ x = 120 If the rate becomes two times i.e. 10% per annum, ⇒ SI = 120 × 3.5 × 10 /100 ⇒ SI = 42 ⇒ Amount = 120 + 42 = Rs. 162 Hence it amounts Rs. 162 at the rate 10% for 3.5 years. |
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